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Description and AssumptionsThis model is technically applicable to any point particle moving in three dimensions, and involves vector calculus. Except for circular and rotational motion, however, one generally treats the vectors in Cartesian coordinates, so they split into three one-dimensional equations, allowing a solution with three applications of the One-Dimensional Motion (General) model. Problem CuesThis model is needed only for problems that clearly involve motion in three dimensions, and is not often used in introductory mechanics. ModelCompatible SystemsA single point particle (or a system treated as a point particle with position specified by the center of mass). Relevant InteractionsOnly knowledge of the net external force is required to determine the acceleration of the system. Laws of ChangeThe laws of change are simply the laws of calculus for vectors. _____ Integral FormsUnknown macro: {latex}
\begin Unknown macro: {large} [ \vec Unknown macro: {v}
(t) = \vec (t_ Unknown macro: {0}
)+\int_{t_{0}}^ Unknown macro: {t}
\vec Unknown macro: {a}
\;dt]\end
Unknown macro: {latex}
\begin Unknown macro: {large} [ \vec Unknown macro: {x}
(t) = \vec (t_ Unknown macro: {0}
)+\int_{t_{0}}^ Unknown macro: {t}
\vec Unknown macro: {v}
\;dt]\end Relevant ExamplesNone yet.
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